Semidefinite programming relaxations for quantum correlations

A Tavakoli, A Pozas-Kerstjens, P Brown… - Reviews of Modern Physics, 2024 - APS
Semidefinite programs are convex optimization problems involving a linear objective
function and a domain of positive-semidefinite matrices. Over the past two decades, they …

Unifying different notions of quantum incompatibility into a strict hierarchy of resource theories of communication

F Buscemi, K Kobayashi, S Minagawa, P Perinotti… - Quantum, 2023 - quantum-journal.org
While there is general consensus on the definition of incompatible POVMs, moving up to the
level of instruments one finds a much less clear situation, with mathematically different and …

Quantum channel marginal problem

CY Hsieh, M Lostaglio, A Acín - Physical Review Research, 2022 - APS
Given a set of local dynamics, are they compatible with a global dynamics? We
systematically formulate these questions as quantum channel marginal problems. These …

Testing symmetry on quantum computers

ML LaBorde, S Rethinasamy, MM Wilde - Quantum, 2023 - quantum-journal.org
Symmetry is a unifying concept in physics. In quantum information and beyond, it is known
that quantum states possessing symmetry are not useful for certain information-processing …

Fundamental limitations on communication over a quantum network

J Xing, T Feng, Z Fan, H Ma, K Bharti, DE Koh… - arXiv preprint arXiv …, 2023 - arxiv.org
Entanglement, a fundamental feature of quantum mechanics, has long been recognized as
a valuable resource in enabling secure communications and surpassing classical limits …

Cycle index polynomials and generalized quantum separability tests

ZP Bradshaw, ML LaBorde… - Proceedings of the …, 2023 - royalsocietypublishing.org
The mixedness of one share of a pure bipartite state determines whether the overall state is
a separable, unentangled one. Here we consider quantum computational tests of …

Quantifying the performance of approximate teleportation and quantum error correction via symmetric 2-PPT-extendible channels

T Holdsworth, V Singh, MM Wilde - Physical Review A, 2023 - APS
The ideal realization of quantum teleportation relies on having access to a maximally
entangled state; however, in practice, such an ideal state is typically not available and one …

Extendibility limits quantum-secured communication and key distillation

V Singh, MM Wilde - arXiv preprint arXiv:2410.21393, 2024 - arxiv.org
Secret-key distillation from quantum states and channels is a central task of interest in
quantum information theory, as it facilitates private communication over a quantum network …

Squashed quantum non-Markovianity: a measure of genuine quantum non-Markovianity in states

R Gangwar, T Pandit, K Goswami, S Das… - arXiv preprint arXiv …, 2023 - arxiv.org
Quantum non-Markovianity in tripartite quantum states $\rho_ {ABC} $ represents a
correlation between systems $ A $ and $ C $ when conditioned on the system $ B $ and is …

Unextendible entanglement of quantum channels

V Singh, MM Wilde - arXiv preprint arXiv:2407.15944, 2024 - arxiv.org
Quantum communication relies on the existence of high quality quantum channels to
exchange information. In practice, however, all communication links are affected by noise …